Referee's report by Arthur Cayley, on a paper 'On the direct application of first principles in the theory of partial differential equations' by Joseph Larmor Not recommended for publication in the 'Philosophical Transactions of the Royal Society'. There is no novelty in the process. The paper does not advance much on the work of the referee published in the Quarterly Mathematical Journal. Subject: Mathematics [Published in the 'Proceedings of the Royal Society of London', 1888] 26 January 1888